The rear meniscus of a long bubble steadily displacing a Newtonian liquid in a capillary tube

In this work the interfacial shapes and the flow occurring at the trailing meniscus of a long bubble is numerically analyzed. The technique employed solves the complete set of governing equations simultaneously. The numerical results reported complete previous descriptions of the creeping how regime; the influence of the inertia forces on the free surface shapes, interfacial undulations, and how patterns is also analyzed. (C) 1999 American Institute of Physics. [S1070-6631(99)00904-6].